Hahn embedding theorem

Hahn embedding theorem

In mathematics, the Hahn embedding theorem states that every totally ordered abelian group can be embedded as a subgroup of the additive group of a real closed field.

It is therefore a generalization of Hölder's theorem.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Hans Hahn — (September 27,1879 July 24,1934) was an Austrian mathematician who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory. He was a student at the Technische Hochschule in… …   Wikipedia

  • List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • Хан, Ханс — В Википедии есть статьи о других людях с такой фамилией, см. Хан. Ханс Хан нем. Hans Hahn Дата рождения: 27 сентября 1879(1879 09 27) Место рождения …   Википедия

  • Lp space — In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p norm for finite dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford Schwartz 1958, III.3),… …   Wikipedia

  • Hurewicz — Witold Hurewicz (* 29. Juni 1904 in Łódź; † 6. September 1956 in Uxmal, Mexiko) war ein bedeutender polnischer Mathematiker. Hurewicz beschäftigte sich mit Topologie. Als Sohn eines Industriellen studierte Hurewicz in Warschau, später in Wien.… …   Deutsch Wikipedia

  • Witold Hurewicz — (* 29. Juni 1904 in Łódź; † 6. September 1956 in Uxmal, Mexiko) war ein bedeutender polnischer Mathematiker. Hurewicz beschäftigte sich mit Topologie. Als Sohn eines Industriellen studierte Hurewicz in Warschau, später in Wien. Dort waren seine… …   Deutsch Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”